Innovative strokeplay from Glenn Maxwell (23) injected impetus into Australia's response, though it was Stoinis who delivered the knockout blow as spinner Wanindu Hasaranga conceded 53 runs in three overs without taking a wicket.
Images from Day 3 of the first Test between South Africa and Australia in Durban on Saturday.
Delhi Capitals are likely to have a much leaner coaching staff next season with head coach Ricky Ponting's future set to be examined at the end of the season.
Australian batters lacked intent and failed to play an aggressive brand of cricket against India's world class spinners, said former skipper Aaron Finch, adding they will need to bring a change in their mindset to be at the forefront.
Australia coach Darren Lehmann has turned the blowtorch on Nathan Lyon, saying the spinner had not "delivered" in second innings spells to drive the Test team to victory.
Images from Day 4 of the second Test between South Africa and Australia in Port Elizabeth on Monday.
Scenes from the post triumph celebrations after Australia won its first T20 World Cup championship at the Dubai international cricket stadium on Sunday.
England crumbled meekly to 107 for eight in reply to Australia's 481 to put the touring side firmly on course for victory in the final Ashes Test after a dramatic second day at The Oval on Friday.
How do India and Australia's teams stack up? Rajneesh Gupta presents all the numbers.
"The way we defended our score was outstanding. It looked like the game was getting away from us, so to drag it back like that was really impressive," said man-of-the-match Hales.
Australia have until Oct. 15 to make changes to their 15-man squad
Australia have named swashbuckling batsman Aaron Finch captain of the Twenty20 cricket team, replacing George Bailey, Cricket Australia (CA) said on Monday.
Images from Day 2 of the first Test between Australia and South Africa in Perth, on Friday.
Australia bundled out England for a paltry 103 in their second innings to win the second Test match at Lord's on Sunday by a massive margin of 405 runs on the fourth day.
There has been a lot of speculations about K L Rahul's future as LSG skipper after his 'public reprimand' by team owner Sanjiv Goenka.
Does Riyan Parag get your vote?
He also said the team was awaiting the arrival of the experienced David Warner, Mitchell Marsh and Jonny Bairstow, who are presently involved in a limited overs series in England.
Ashton Agar and Usman Khawaja are the other two names doing the rounds, as the visitors grapple with injury issues ahead of the third Test starting in Ranchi on Thursday.
Images from the ICC World Cup match between Australia and New Zealand, in Dharamsala, on Saturday.
Riyan Parag's attacking half-century set up a 12-run win for Rajasthan Royals against Delhi Capitals.
Images from Monday's IPL match between Royal Challengers Bangalore and SunRisers Hyderabad, in Dubai.
Kohli has always led from the front but he knows his search for a maiden title will remain incomplete if the team doesn't perform in all departments.
This is Ravichandran Ashwin's sixth stint at the top of the rankings. He first became number one in December 2015.
The 10-team tournament will be played across 10 venues culminating in the November 19 final at the 132,000-capacity Narendra Modi Stadium in Ahmedabad.
Maxwell put on a solid partnership of 103 runs with Pat Cummins for the highest seventh-wicket stand or lower for Australia in World Cups.
At the moment, Pakistan's World Cup campaign is stuck against a huge boulder primarily because of their bowlers' inability to fire as a unit, the latest setback being a 62-run defeat against Australia in Bengaluru.
It took Australia seven attempts but under Aaron Finch they finally laid their hands on a maiden Twenty20 World Cup title on Sunday with an eight-wicket triumph over New Zealand.
Concerns that senior players would pull out of the tour due to security issues after both England and New Zealand withdrew from tours of Pakistan late last year have proven unfounded.
Batsman Daniel Hughes, returning from an ankle injury but still visibly restricted, top-scored with 42 before being run-out by Marsh, triggering a collapse which resulted in the side being bowled out for 92.
Australia's hopes of winning back respect and moving on from a ball-tampering scandal that plunged the team into disgrace face their first test on Sunday when Tim Paine's rebuilding side meet Pakistan in the series-opener in Dubai.
Following is a fact file on the first Test match between Australia and India in Adelaide and how the teams have performed at the Adelaide Oval over the years:
Delhi Capitals will expect more from their batters after an underwhelming display in their previous outing, while Lucknow Super Giants are eager to shrug off overdependence on skipper KL Rahul when the teams clash in the IPL match in Mumbai on Sunday.
Will Rohit Sharma get one final opportunity to salvage his Test career?
England, chasing 251 to win the must-win third Ashes Test, closed the rain-delayed day three on 27/0.
Australia repelled a brief England fightback led by Alastair Cook and Ben Stokes to remain firmly in control of the second Ashes Test on the third day at Lord's on Saturday.
'The more all-rounders are there, the better it is for any team in T20s'
Pat Cummins took 10 wickets to lead Australia to Pakistan series triumph
Images from Day 2 of the 2nd Ashes Test played at the Adelaide Oval on Sunday
Starc had wiped out the entire top order in powerplay
There is some good news for the injury-hit Australian cricket team as opener Shaun Marsh is likely to be fit for the upcoming Test series against India and might even play the two warm-up matches before that.